Answer:
The probability that the sample mean would differ from the population mean by greater than 2.4 gallons is 0.86558
Step-by-step explanation:
The given parameters are;
The mean, [tex]\bar x[/tex] = 101 gallons
The population mean = μ
The variance, σ² = 49
The number of racing cars, n = 43
The probability that the sample mean would differ from the population mean by greater than 2.4 gallons is given as follows;
P([tex]\left | \bar x - \mu \right |[/tex]) >2.4 = P(2.4 > [tex]\left | \bar x - \mu \right |[/tex] >-2.4)
The formula for the test of the mean, Z₀, is given as follows;
[tex]Z_0 = \dfrac{\bar x - \mu}{\dfrac{\sigma}{\sqrt{n} } }[/tex]
Therefore, we have;
[tex]P \left (\dfrac{2.4}{\dfrac{\sqrt{49} }{\sqrt{43} } } >Z> \dfrac{-2.4}{\dfrac{\sqrt{49} } {\sqrt{43} } } \right) = P \left (\dfrac{2.4}{\dfrac{7 }{\sqrt{43} } } >Z> \dfrac{-2.4}{\dfrac{7} {\sqrt{43} } } \right)[/tex]
Which gives;
P([tex]\left | \bar x - \mu \right |[/tex]) >2.4 = P(2.25 > Z > -2.25)
(We round up to 2.25 because that is the accuracy of the z-table)
From which we have;
P(Z > -2.25) - P(Z > 2.25) = (1 - P(Z < -2.25)) - (1 - P(Z < 2.25))
P([tex]\left | \bar x - \mu \right |[/tex]) >2.4 = (1 - 0.1222) - (1 - 0.98778) = 0.86558
The probability that the sample mean would differ from the population mean by greater than 2.4 gallons = 0.86558.
The production cost for g graphing calculators is C(g) = 15g. Graph the function and then evaluate it when g = 15. What does the value of the function at g = 15 represent
Answer:
C(15) = 225Step-by-step explanation:
Given function
C(g) = 15g
15 is the cost of one calculatorg is the number of calculatorsC(g) is the cost of g calculatorsAt g=15 the function is
C(15) = 15*15 = 225Solve to determine if the following expressions are equivalent: 8a - 4 + 2a and 6a + 4.
Answer:
NOPE
Step-by-step explanation:
8a-4+2a
10a-4 simplified
10a-4 and 6a+4, these do not match
The following expression, 8a - 4 + 2a and 6a + 4, are not equal.
What is expression?Mathematical expressions consist of at least two numbers or variables, at least one arithmetic operation, and a statement. It's possible to multiply, divide, add, or subtract with this mathematical operation.
Given two expression 8a - 4 + 2a and 6a + 4.
Simplifying the first expression:
8a - 4 + 2a
=> 10a -4
That is not equal to the second expression 6a + 4.
therefore, the following expressions are not equivalent 8a - 4 + 2a and 6a + 4.
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PLZZZZZZZ HELP MEEEEE ;-;
Step-by-step explanation:
For the brownie shop:
p = 200m - 2000
200m represents how much money you earn every month. 2000 is how much money you spent to start the business. Multiply 200 by the number of months, then add that number to -2000 to get your profit.
For the smoothie shop:
p = -200 -100m
Same thing as the brownie shop, but 200 is the money spent and 100 is the money earned. Both numbers are negative, so the profit will be more and more negative. This means that, unlike the brownie shop, the smoothie shop isn't gaining any money.
What is the slope of the line? y = 10
Answer:
0
Step-by-step explanation:
The equation is written in slope-intercept form [ y = mx + b ]
In the equation [ y = 10 ], there is no variable that represents m and we know that because no number has an "x" after it.
The only number that could remove the variable of "m" and "x" would be 0.
Best of Luck!
Identify the correct solution for -10+(-16)-10
The answer would be -36
5w+3=18
Simplify your answer as much as possible
Answer:
w=3
Step-by-step explanation:
Step 1: Subtract 3 from both sides.
5w+3−3=18−3
5w=15
Step 2: Divide both sides by 5.
5w
/5
=
15
/5
w=3
Which graph represents the inequality x > 3?
Answer:
Pretty sure that the answer is C.
Step-by-step explanation:
Answer:
It's A I'm pretty sure
Step-by-step explanation:
The system of equations graphed below has how many solutions?
A. Infinitely many
B. 2
C. 1 D. 0
========================================================
Explanation:
Each given equation is in the form y = mx+b, with m as the slope
The slope of each equation is m = -3/2
Since the lines have the same slope, but different y intercepts, we have two parallel lines.
Parallel lines never intersect, so we don't have any solutions.
A solution to a system is an (x,y) point that is on both lines at the same time, making both equations true simultaneously.
A system with no solutions is considered inconsistent.
Calculate the range, population variance, and population standard deviation for the following data set. If necessary, round to one more decimal place than the largest number of decimal places given in the data.
13,13,13,13,13,13,13,13,13,13
Answer:
12323343546
Step-by-step explanation:
What is the value of x?
40
70
140
160
Answer: 70
Answer: the answer is 70
Step-by-step explanation:
The value of x is 70.
What is angle Sum Property?According to the triangle's "angle sum property," a triangle's angles add up to 180 degrees. Three sides and three angles, one at each vertex, make up a triangle. The sum of the interior angles in a triangle is always 180, regardless of whether it is acute, obtuse, or right.
Given:
As, the two sides of Triangles are and angles opposite to equal sides are also equal.
So, the measure of two angles are x.
Now, using Angle Sum Property
x+ x + 40= 180
2x + 40= 180
2x = 140
x= 70
Hence, the value of x is 70.
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the question is in the picture
PLEASE HELP ME!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!
Answer:
all integers greater than zero
Step-by-step explanation:
As it makes most sense to the pattern
Pleassssse mark brainliest
PLEASE HELP ME PLEASE
Solve the equation
2/3x - 2 = 7
13 1/2
-13 1/2
15 1/2
6
(2/3)x = 7 + 2
(2/3)x = 9
2x = 9 × 3
x = 27/2
:. x = 13 1/2
convert 45 ft/sec to inches/min
Answer: 32400in
Step-by-step explanation:
Please help me out with this question!!!
Answer:
100
Step-by-step explanation:
Answer:
its 100 ounces
Rewrite in simplest terms: -5s-7(8s-1)
Answer:
-61s+7
Step-by-step explanation:
-5s-7(8s-1)
Distribute
-5s -56s +7
Combine like terms
-61s+7
Answer:
-61s+7
Step-by-step explanation:
-5s-7(8s-1)
-5s-56s+7
-61s+7
8 times ( 18 divides 6 )
Answer: 24
Step-by-step explanation: 8x3=24 in which 18 divided by 6 is 3.
Answer:
24
Step-by-step explanation:
Solve inside of the parentheses first.
18/6=3
Then, multiply it by 8.
3x8=24
That's your answer!
In case you didn't know, there's an order you use to solve these types of questions called the order of operations. You might recognize it as the acronym PEMDAS. PEMDAS is an acronym that stands for the words parentheses, exponents, multiplication, division, addition, subtraction. For example, using the order of operations, the first thing you do is solve inside of parentheses, if there are any. In the problem above, there were parentheses, so that's why we divided inside of it first before multiplying!
Hope you understood...have a wonderful day!! c:
i am a three digit whole number. my tens digit is 5. i am divisible by 4. i am divisible by 9. each of my digits is different. my ones digit is greater than my tens digit. my hundreds digit is greater than my ones digit. i am less than 800. i am divisible by 7. my ones digit is 6.
Answer:
756
Step-by-step explanation:
Explain how to determine the number of solutions using the coefficients and constants.
hope this helps you with the question
Steve has 50 pieces of gum. He gave x amount of friends 6 pieces each. How many pieces of gurn does Steve have left?
Convert 340 centimeters into inches. Round your answer to the nearest whole number.
On unit conversion the value of 340 cm is 134 inches.
What is unit conversion?
Unit conversion is a multi-step procedure that involves adding, subtracting, multiplying, or dividing by a conversion factor. Additionally, rounding and choosing the appropriate number of significant digits may be necessary during the process.
There are 2.54 centimeters in one inch.
Perform unit conversion to convert cm to inch.
To convert 340 centimeters into inches, divide 340 by 2.54 -
340 cm ÷ 2.54 cm/inch
340 / 2.54
≈ 133.8583 inches
Rounding to the nearest whole number, it is obtained -
134 inches
Therefore, 340 centimeters is approximately equal to 134 inches when rounded to the nearest whole number.
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Some information about the surface area and volume of two similar solids has been given fill in the missing value.
Answer:
1216 yd³Step-by-step explanation:
GivenSolid 1 | Solid 2Surface area = 1100 yd² | Surface area = 176 yd²Volume = 19000 yd³ | Volume = xSolids are similarLet the scale factor be k, then
Surface area is a product of 2 dimensions so the ratio of surface area of the solids would be k²Volume is the product of 3 dimensions so the ratio of volumes would be k³Considering this we have:
1100 = 176*k²19000 = x*k³The value of x is
x = 19000/k³Finding the scale factor
k= √1100/176 = 2.5So the answer is
x = 19000/2.5³ = 1216 yd³Mrs. Adams bought cans of pears and cans of mixed fruit.
She bought a total of 7 cans at a cost of $21.50.
Each can of pears cost $3.20, and each can of mixed fruit cost $2.90.
Answer:
She got 3 cans of mixed fruit
Step-by-step explanation:
3.20*4=12.80 2.90*3=8.70 12.80+8.70=21.50
helpppppp meeeeee plsssssss
Answer: The answer is D i need brainliest plssss
Step-by-step explanation:
Answer:
6 15/16
Step-by-step explanation:
the correct answer is the last
((((((((can you give me the crown please)))))))
need help 2x = 2(x-3)
Answer:
0=-6 There can't be an answer for x
Step-by-step explanation:
1: distribute: 2x=2x-6
2: isolate x by subtracting 2x from both sides: 0=-6
Are the lines below parallel, perpendicular, or neither?
2y=3x-42y=3x−4
y=\frac{2}{3}x-3y=
3
2
x−3
Parallel
Neither
Perpendicular
Answer:
Neither2y = 3x - 4
y = 2/3x - 3
Step-by-step explanation:
Parallel means the lines never cross. These two lines cross. Perpendicular means they cross and form a 90° angle.
Answer:
NeitherStep-by-step explanation:
Given lines
2y=3x-4 ⇒ y = 3/2x - 4y= 2/3x - 3The lines have different slope so they intersect but they are not perpendicular as perpendicular lines have negative reciprocal slopes
So the answer choice is neither
2. Vertical angles CAN NOT be which of the following?
a supplementary
b) complementary
c) adjacent
d) obtuse
-20 = x/8 -8) oh ya and please subscribe to michadsen tv
-20 = x/8 -8) oh ya and please subscribe to iwpp
If f(x)=-3x+4 and g(x)=2, solve for the value of x for which f(x) = g(x) is true.
Multiply and simplify 8 times 3/10
Answer:
2.4 Hope this helped
Step-by-step explanation:
8/1 x 3/10
24/10
2.4
Answer:
2.4
Step-by-step explanation:
8 turns into 8/1, then you multiply
8/1 * 3/10
Multiply 8 * 3 (24)
Multiply 1 * 10 (10)
You then get 24/10
24/10 = 2.4